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...P a g e mathematics notes for class chapter application of derivatives tangents and normals the derivative curve y f x is which represents slope tangent equation to at where an arbitrary point on normal if then equations are respectively i perpendicular axis or parallel www ncerthelp com visit all ncert solutions in text videos cbse syllabus note many more ii iii length pa cosec subtangent iv subnormal angle intersection two curves let be meeting some between other generally smaller these angles taken given by as rate change variable quantity function time t small have corresponding thus average when limit applied becomes instantaneous we get with respect instant so differential coefficient dy dx nothing but increase relative rolle s theorem real valued defined closed interval such that continuous...